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Finding the Fourth Proportional to 1,090.40, 1,635.60 and 543.65

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Solution

The fourth proportional to 1,090.40, 1,635.60 and 543.65 is: 815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.40 : 1,635.60 = 543.65 : x
  2. Step 2: Convert to fraction form
    1,090.40/1,635.60 = 543.65/x
  3. Step 3: Cross multiply
    1,090.40x = 1,635.60 × 543.65
  4. Step 4: Simplify right side
    1,090.40x = 889,193.94
  5. Step 5: Solve for x
    x = 889,193.94/1,090.40
  6. Step 6: Final answer
    x = 815.48

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.